SIAM Journal on Numerical Analysis, Vol. 45, No. 2 (2007), pp. 746-769 (24 pages) We derive a new formula for the asymptotic eigenvalue distribution of stiffness matrices obtained by applying P₁ ...

Transactions of the American Mathematical Society, Vol. 359, No. 3 (Mar., 2007), pp. 1161-1189 (29 pages) We consider sums of the form $\sum_{j=0}^{n-1}F_{1}(a_{1}n+b ...

For example, a polygon has rotational as well as reflectional symmetries, all of which, together with the operation of composition, form what's called a finite group, because the polygon can be ...

Newcastle University provides funding as a member of The Conversation UK. After thousands of years of trying, mathematicians are still working out the number known as pi or “π”. We typically think of ...

Finite State Machines (FSMs) serve as a foundational model for representing the behaviour of systems that transition between discrete states in response to inputs. Their applicability ranges from ...

An artificial spin ice array exploits two-dimensional chirality to take a step towards technology. The functionality of the micromagnetic array may be understood by analogy with a mechanical ratchet ...